(-3x*3+4)(7x-2)=

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Solution for (-3x*3+4)(7x-2)= equation: 


Simplifying
(-3x * 3 + 4)(7x + -2) = 0

Reorder the terms for easier multiplication:
(-3 * 3x + 4)(7x + -2) = 0

Multiply -3 * 3
(-9x + 4)(7x + -2) = 0

Reorder the terms:
(4 + -9x)(7x + -2) = 0

Reorder the terms:
(4 + -9x)(-2 + 7x) = 0

Multiply (4 + -9x) * (-2 + 7x)
(4(-2 + 7x) + -9x * (-2 + 7x)) = 0
((-2 * 4 + 7x * 4) + -9x * (-2 + 7x)) = 0
((-8 + 28x) + -9x * (-2 + 7x)) = 0
(-8 + 28x + (-2 * -9x + 7x * -9x)) = 0
(-8 + 28x + (18x + -63x2)) = 0

Combine like terms: 28x + 18x = 46x
(-8 + 46x + -63x2) = 0

Solving
-8 + 46x + -63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + 9x)(2 + -7x) = 0


Subproblem 1
Set the factor '(-4 + 9x)' equal to zero and attempt to solve:

Simplifying
-4 + 9x = 0

Solving
-4 + 9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 9x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9x = 0 + 4
9x = 0 + 4

Combine like terms: 0 + 4 = 4
9x = 4

Divide each side by '9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {0.4444444444, 0.2857142857}

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